%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP660+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:18:28 AM UTC 2026
% Result : Theorem 8.24s 1.96s
% Output : Refutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 6
% Syntax : Number of formulae : 95 ( 89 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 186 ( 183 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ? [X0] :
! [X1] :
( mult(X1,X0) = X1
& mult(X0,X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [X0] :
? [X1] :
( mult(X1,X0) != X1
| mult(X0,X1) != X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0] :
( sK0(X0) != mult(sK0(X0),X0)
| sK0(X0) != mult(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f23,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f10]) ).
fof(f29,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,rd(X0,X1)))) = mult(mult(X0,X2),rd(X0,X1)),
inference(superposition,[],[f14,f12]) ).
fof(f32,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(X1,mult(X2,mult(ld(mult(X1,X2),X0),X1))),
inference(superposition,[],[f14,f10]) ).
fof(f33,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f13,f14]) ).
fof(f34,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[],[f11,f14]) ).
fof(f37,plain,
! [X2,X0,X1] : mult(mult(X2,X1),ld(X1,X0)) = mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),X0)),
inference(superposition,[],[f28,f10]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f28,f12]) ).
fof(f42,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),mult(ld(X2,X0),mult(X1,X2))) = X2,
inference(superposition,[],[f13,f28]) ).
fof(f43,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f28]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X2,mult(ld(mult(X1,X2),X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f11,f32]) ).
fof(f64,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f33,f12]) ).
fof(f68,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f33,f12]) ).
fof(f153,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,X2),mult(ld(X2,X0),X1)),
inference(superposition,[],[f43,f10]) ).
fof(f156,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f43,f12]) ).
fof(f212,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),X1),X0) = ld(X2,ld(X0,mult(X1,X0))),
inference(superposition,[],[f11,f56]) ).
fof(f249,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X1) = mult(mult(X1,rd(X0,X2)),rd(X2,X1)),
inference(superposition,[],[f64,f12]) ).
fof(f295,plain,
! [X2,X0,X1] : mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[],[f13,f68]) ).
fof(f581,plain,
! [X2,X0,X1] : ld(X0,X2) = rd(ld(X0,mult(X1,X0)),mult(ld(X2,X1),X0)),
inference(superposition,[],[f13,f153]) ).
fof(f653,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = rd(ld(X0,mult(X1,X0)),mult(X2,X0)),
inference(superposition,[],[f13,f156]) ).
fof(f783,plain,
! [X2,X0,X1] : mult(ld(mult(X1,X2),rd(X0,X1)),X1) = ld(X2,ld(X1,X0)),
inference(superposition,[],[f212,f12]) ).
fof(f784,plain,
! [X0,X1] : ld(X1,X0) = mult(ld(mult(X0,X1),X0),X0),
inference(superposition,[],[f212,f11]) ).
fof(f827,plain,
! [X0,X1] : ld(ld(mult(X1,X0),X1),ld(X0,X1)) = X1,
inference(superposition,[],[f11,f784]) ).
fof(f828,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f13,f784]) ).
fof(f918,plain,
! [X0,X1] : ld(ld(mult(X1,rd(X1,X0)),X1),X0) = X1,
inference(superposition,[],[f827,f22]) ).
fof(f1603,plain,
! [X2,X0,X1] : rd(rd(X0,X1),X2) = mult(X1,rd(ld(X1,X0),mult(X2,X1))),
inference(superposition,[],[f295,f10]) ).
fof(f1975,plain,
! [X2,X0,X1] : ld(X1,X2) = rd(ld(X1,X0),mult(ld(X2,rd(X0,X1)),X1)),
inference(superposition,[],[f581,f12]) ).
fof(f2071,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X1),X2)) = rd(ld(X1,X0),mult(X2,X1)),
inference(superposition,[],[f653,f12]) ).
fof(f2094,plain,
! [X0,X1] : ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(superposition,[],[f653,f828]) ).
fof(f2144,plain,
! [X2,X0,X1] : ld(ld(X1,X0),ld(X1,X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f783,f10]) ).
fof(f2767,plain,
! [X2,X0,X1] : mult(X2,rd(ld(X2,X1),X0)) = rd(rd(X1,X2),rd(X0,X2)),
inference(superposition,[],[f1603,f12]) ).
fof(f4034,plain,
! [X2,X0,X1] : ld(ld(X1,X2),X0) = mult(ld(X2,rd(mult(X1,X0),X1)),X1),
inference(superposition,[],[f2144,f11]) ).
fof(f5544,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f2094,f249]) ).
fof(f5647,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f5544,f13]) ).
fof(f5663,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f5647,f11]) ).
fof(f5672,plain,
! [X0] : ld(X0,rd(X0,X0)) = rd(ld(X0,X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f1975,f5663]) ).
fof(f5676,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f10,f5663]) ).
fof(f5726,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,rd(rd(X0,X0),rd(X0,X0))),
inference(forward_demodulation,[],[f5672,f2071]) ).
fof(f5746,plain,
! [X0] : ld(X0,rd(X0,X0)) = ld(X0,mult(X0,rd(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f5726,f2767]) ).
fof(f5757,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5746,f11]) ).
fof(f5761,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f5757,f828]) ).
fof(f5765,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f29,f5676]) ).
fof(f5768,plain,
! [X0] : mult(rd(X0,X0),X0) = mult(X0,mult(ld(X0,rd(X0,X0)),X0)),
inference(superposition,[],[f39,f5676]) ).
fof(f5863,plain,
! [X0] : mult(X0,mult(ld(X0,rd(X0,X0)),X0)) = X0,
inference(forward_demodulation,[],[f5768,f12]) ).
fof(f5865,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f5765,f249]) ).
fof(f5903,plain,
! [X0] : mult(rd(X0,X0),mult(X0,rd(X0,X0))) = X0,
inference(forward_demodulation,[],[f5865,f13]) ).
fof(f6057,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(superposition,[],[f784,f5761]) ).
fof(f6284,plain,
! [X0] : rd(X0,X0) = ld(mult(mult(rd(X0,X0),rd(X0,X0)),X0),mult(rd(X0,X0),X0)),
inference(superposition,[],[f34,f5903]) ).
fof(f6286,plain,
! [X0] : mult(X0,rd(X0,X0)) = ld(rd(X0,X0),X0),
inference(superposition,[],[f11,f5903]) ).
fof(f6372,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f6286,f22]) ).
fof(f6374,plain,
! [X0] : rd(X0,X0) = ld(mult(mult(rd(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[],[f6284,f12]) ).
fof(f6392,plain,
! [X0] : rd(X0,X0) = ld(mult(X0,mult(ld(X0,rd(X0,X0)),X0)),X0),
inference(forward_demodulation,[],[f6374,f39]) ).
fof(f6401,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f6392,f5863]) ).
fof(f6457,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(ld(X0,X0),X0),
inference(superposition,[],[f784,f6372]) ).
fof(f6501,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f6457,f22]) ).
fof(f6796,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f6057,f6401]) ).
fof(f6806,plain,
! [X0] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,mult(ld(X0,X0),X0)),
inference(superposition,[],[f153,f6796]) ).
fof(f6906,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f6806,f6501]) ).
fof(f9707,plain,
! [X0,X1] : ld(ld(rd(X0,X0),X1),mult(X0,rd(X0,X0))) = mult(ld(X1,rd(X0,rd(X0,X0))),rd(X0,X0)),
inference(superposition,[],[f4034,f5903]) ).
fof(f9847,plain,
! [X0,X1] : mult(ld(X1,rd(X0,ld(X0,X0))),ld(X0,X0)) = ld(ld(ld(X0,X0),X1),mult(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f9707,f6401]) ).
fof(f9901,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,rd(X0,ld(X0,X0))),ld(X0,X0)),
inference(forward_demodulation,[],[f9847,f10]) ).
fof(f9925,plain,
! [X0,X1] : ld(ld(ld(X0,X0),X1),X0) = mult(ld(X1,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f9901,f23]) ).
fof(f25597,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(ld(X1,X1),X0),X1),ld(X1,X1)),
inference(superposition,[],[f9925,f11]) ).
fof(f42835,plain,
! [X0,X1] : rd(mult(mult(X1,ld(ld(X1,X1),X0)),X1),mult(mult(X0,X1),ld(X1,X1))) = X1,
inference(superposition,[],[f42,f37]) ).
fof(f47857,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(ld(ld(X1,X1),ld(X1,X1)),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),ld(ld(X1,X1),ld(X1,X1)))),
inference(superposition,[],[f42835,f25597]) ).
fof(f48070,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(mult(ld(X1,rd(X1,X1)),X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),mult(ld(X1,rd(X1,X1)),X1))),
inference(forward_demodulation,[],[f47857,f2144]) ).
fof(f48163,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(mult(ld(X1,ld(X1,X1)),X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),mult(ld(X1,ld(X1,X1)),X1))),
inference(forward_demodulation,[],[f48070,f6401]) ).
fof(f48235,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(mult(ld(X1,X1),ld(ld(X1,X1),ld(mult(ld(X1,X1),X0),X1))),ld(X1,X1)),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48163,f6796]) ).
fof(f48290,plain,
! [X0,X1] : ld(X1,X1) = rd(mult(ld(mult(ld(X1,X1),X0),X1),ld(X1,X1)),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48235,f10]) ).
fof(f48328,plain,
! [X0,X1] : ld(X1,X1) = rd(ld(X0,X1),mult(ld(X0,X1),ld(X1,X1))),
inference(forward_demodulation,[],[f48290,f25597]) ).
fof(f48458,plain,
! [X0,X1] : ld(X1,X1) = rd(X0,mult(X0,ld(X1,X1))),
inference(superposition,[],[f48328,f918]) ).
fof(f48956,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = X1,
inference(superposition,[],[f12,f48458]) ).
fof(f49486,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(mult(ld(X0,X0),ld(X0,X0)),X1)),
inference(superposition,[],[f32,f48956]) ).
fof(f49608,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f49486,f6906]) ).
fof(f49686,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(forward_demodulation,[],[f49608,f10]) ).
fof(f49905,plain,
! [X0,X1] : mult(ld(X1,X1),X0) = X0,
inference(superposition,[],[f48956,f49686]) ).
fof(f50131,plain,
! [X0] :
( sK0(ld(X0,X0)) != sK0(ld(X0,X0))
| sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))) ),
inference(superposition,[],[f15,f49686]) ).
fof(f50132,plain,
! [X0] : sK0(ld(X0,X0)) != mult(ld(X0,X0),sK0(ld(X0,X0))),
inference(trivial_inequality_removal,[],[f50131]) ).
fof(f52494,plain,
$false,
inference(forward_subsumption_resolution,[],[f50132,f49905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:32:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.24/1.96 % (598902)Will run a generic schedule for satisfiability detection.
% 8.24/1.96 % (598912)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=576515206:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.24/1.96 % (598908)% WARNING: option uhcvi not known.
% 8.24/1.96 % (598907)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=45373779_2999 on theBenchmark for (2999ds/0Mi)
% 8.24/1.96 % (598908)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3816889138:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.24/1.96 % (598910)dis+10_1_sil=32000:sp=arity:random_seed=3958945120:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.24/1.96 % (598909)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2453631914:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.24/1.96 % (598911)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1706079414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.24/1.96 % (598913)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1346239220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.24/1.96 % TRYING [1]
% 8.24/1.96 % TRYING [2]
% 8.24/1.96 % TRYING [3]
% 8.24/1.96 % TRYING [4]
% 8.24/1.96 % TRYING [5]
% 8.24/1.96 % TRYING [6]
% 8.24/1.96 % (598912)Instruction limit reached!
% 8.24/1.96 % (598912)------------------------------
% 8.24/1.96 % (598912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598912)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598912)Termination reason: Instruction limit
% 8.24/1.96 % (598912)Termination phase: Saturation
% 8.24/1.96 % (598912)Time elapsed: 0.066 s
% 8.24/1.96 % (598912)Peak memory usage: 23 MB
% 8.24/1.96 % (598912)Instructions burned: 132 (million)
% 8.24/1.96 % (598910)Instruction limit reached!
% 8.24/1.96 % (598910)------------------------------
% 8.24/1.96 % (598910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598910)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598910)Termination reason: Instruction limit
% 8.24/1.96 % (598910)Termination phase: Saturation
% 8.24/1.96 % (598910)Time elapsed: 0.060 s
% 8.24/1.96 % (598910)Peak memory usage: 12 MB
% 8.24/1.96 % (598910)Instructions burned: 105 (million)
% 8.24/1.96 % (598911)Instruction limit reached!
% 8.24/1.96 % (598911)------------------------------
% 8.24/1.96 % (598911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598911)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598911)Termination reason: Instruction limit
% 8.24/1.96 % (598911)Termination phase: Saturation
% 8.24/1.96 % (598911)Time elapsed: 0.075 s
% 8.24/1.96 % (598911)Peak memory usage: 13 MB
% 8.24/1.96 % (598911)Instructions burned: 120 (million)
% 8.24/1.96 % (598921)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=630534713:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.24/1.96 % TRYING [1]
% 8.24/1.96 % TRYING [2]
% 8.24/1.96 % TRYING [3]
% 8.24/1.96 % TRYING [4]
% 8.24/1.96 % (598922)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=646621108:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.24/1.96 % TRYING [5]
% 8.24/1.96 % (598924)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3403626281:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.24/1.96 % (598913)Instruction limit reached!
% 8.24/1.96 % (598913)------------------------------
% 8.24/1.96 % (598913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598913)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598913)Termination reason: Instruction limit
% 8.24/1.96 % (598913)Termination phase: Saturation
% 8.24/1.96 % (598913)Time elapsed: 0.098 s
% 8.24/1.96 % (598913)Peak memory usage: 13 MB
% 8.24/1.96 % (598913)Instructions burned: 160 (million)
% 8.24/1.96 % TRYING [6]
% 8.24/1.96 % (598927)ott-21_1_sil=16000:fs=off:random_seed=678839607:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.24/1.96 % (598922)Instruction limit reached!
% 8.24/1.96 % (598922)------------------------------
% 8.24/1.96 % (598922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598922)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598922)Termination reason: Instruction limit
% 8.24/1.96 % (598922)Termination phase: Saturation
% 8.24/1.96 % (598922)Time elapsed: 0.086 s
% 8.24/1.96 % (598922)Peak memory usage: 13 MB
% 8.24/1.96 % (598922)Instructions burned: 132 (million)
% 8.24/1.96 % (598929)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=207079719:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.24/1.96 % (598927)Instruction limit reached!
% 8.24/1.96 % (598927)------------------------------
% 8.24/1.96 % (598927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598927)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598927)Termination reason: Instruction limit
% 8.24/1.96 % (598927)Termination phase: Saturation
% 8.24/1.96 % (598927)Time elapsed: 0.088 s
% 8.24/1.96 % (598927)Peak memory usage: 12 MB
% 8.24/1.96 % (598927)Instructions burned: 182 (million)
% 8.24/1.96 % (598931)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=831442461:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.24/1.96 % TRYING [1]
% 8.24/1.96 % TRYING [2]
% 8.24/1.96 % TRYING [3]
% 8.24/1.96 % TRYING [4]
% 8.24/1.96 % TRYING [7]
% 8.24/1.96 % TRYING [5]
% 8.24/1.96 % (598921)Instruction limit reached!
% 8.24/1.96 % (598921)------------------------------
% 8.24/1.96 % (598921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598921)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598921)Termination reason: Instruction limit
% 8.24/1.96 % (598921)Termination phase: Finite model building SAT solving
% 8.24/1.96 % (598921)Time elapsed: 0.197 s
% 8.24/1.96 % (598921)Peak memory usage: 22 MB
% 8.24/1.96 % (598921)Instructions burned: 715 (million)
% 8.24/1.96 % (598933)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=879272198:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.24/1.96 % TRYING [6]
% 8.24/1.96 % TRYING [7]
% 8.24/1.96 % (598929)Instruction limit reached!
% 8.24/1.96 % (598929)------------------------------
% 8.24/1.96 % (598929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598929)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598929)Termination reason: Instruction limit
% 8.24/1.96 % (598929)Termination phase: Saturation
% 8.24/1.96 % (598929)Time elapsed: 0.269 s
% 8.24/1.96 % (598929)Peak memory usage: 17 MB
% 8.24/1.96 % (598929)Instructions burned: 478 (million)
% 8.24/1.96 % (598935)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1366272744:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.24/1.96 % (598924)Instruction limit reached!
% 8.24/1.96 % (598924)------------------------------
% 8.24/1.96 % (598924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598924)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598924)Termination reason: Instruction limit
% 8.24/1.96 % (598924)Termination phase: Saturation
% 8.24/1.96 % (598924)Time elapsed: 0.380 s
% 8.24/1.96 % (598924)Peak memory usage: 20 MB
% 8.24/1.96 % (598924)Instructions burned: 685 (million)
% 8.24/1.96 % (598937)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3079624925:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.24/1.96 % TRYING [14]
% 8.24/1.96 % TRYING [7]
% 8.24/1.96 % (598931)Instruction limit reached!
% 8.24/1.96 % (598931)------------------------------
% 8.24/1.96 % (598931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598931)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598931)Termination reason: Instruction limit
% 8.24/1.96 % (598931)Termination phase: Finite model building SAT solving
% 8.24/1.96 % (598931)Time elapsed: 0.419 s
% 8.24/1.96 % (598931)Peak memory usage: 19 MB
% 8.24/1.96 % (598931)Instructions burned: 867 (million)
% 8.24/1.96 % (598939)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2335332685:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 8.24/1.96 % (598933)Instruction limit reached!
% 8.24/1.96 % (598933)------------------------------
% 8.24/1.96 % (598933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598933)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598933)Termination reason: Instruction limit
% 8.24/1.96 % (598933)Termination phase: Saturation
% 8.24/1.96 % (598933)Time elapsed: 0.400 s
% 8.24/1.96 % (598933)Peak memory usage: 28 MB
% 8.24/1.96 % (598933)Instructions burned: 1180 (million)
% 8.24/1.96 % (598941)fmb+10_1_sil=64000:random_seed=2338457709:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.24/1.96 % TRYING [1]
% 8.24/1.96 % TRYING [2]
% 8.24/1.96 % TRYING [3]
% 8.24/1.96 % TRYING [4]
% 8.24/1.96 % TRYING [5]
% 8.24/1.96 % TRYING [6]
% 8.24/1.96 % (598935)Instruction limit reached!
% 8.24/1.96 % (598935)------------------------------
% 8.24/1.96 % (598935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598935)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598935)Termination reason: Instruction limit
% 8.24/1.96 % (598935)Termination phase: Finite model building constraint generation
% 8.24/1.96 % (598935)Time elapsed: 0.321 s
% 8.24/1.96 % (598935)Peak memory usage: 76 MB
% 8.24/1.96 % (598935)Instructions burned: 890 (million)
% 8.24/1.96 % (598943)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2509453837:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 8.24/1.96 % TRYING [20]
% 8.24/1.96 % TRYING [7]
% 8.24/1.96 % (598937)Instruction limit reached!
% 8.24/1.96 % (598937)------------------------------
% 8.24/1.96 % (598937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598937)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598937)Termination reason: Instruction limit
% 8.24/1.96 % (598937)Termination phase: Saturation
% 8.24/1.96 % (598937)Time elapsed: 0.446 s
% 8.24/1.96 % (598937)Peak memory usage: 22 MB
% 8.24/1.96 % (598937)Instructions burned: 692 (million)
% 8.24/1.96 % (598945)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=826183078:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.24/1.96 % TRYING [8]
% 8.24/1.96 % (598939)Instruction limit reached!
% 8.24/1.96 % (598939)------------------------------
% 8.24/1.96 % (598939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598939)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598939)Termination reason: Instruction limit
% 8.24/1.96 % (598939)Termination phase: Saturation
% 8.24/1.96 % (598939)Time elapsed: 0.481 s
% 8.24/1.96 % (598939)Peak memory usage: 20 MB
% 8.24/1.96 % (598939)Instructions burned: 880 (million)
% 8.24/1.96 % (598947)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=24648558:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.24/1.96 % (598909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-598902-598909"...
% 8.24/1.96 % (598909)...printing done.
% 8.24/1.96 % (598909)Refutation found. Thanks to Tanya!
% 8.24/1.96 % SZS status Theorem for theBenchmark
% 8.24/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.24/1.96 % (598909)------------------------------
% 8.24/1.96 % (598909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.96 % (598909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.96 % (598909)CaDiCaL version: 2.1.3
% 8.24/1.96 % (598909)Termination reason: Refutation
% 8.24/1.96 % (598909)Time elapsed: 1.480 s
% 8.24/1.96 % (598909)Peak memory usage: 40 MB
% 8.24/1.96 % (598909)Instructions burned: 2772 (million)
% 8.24/1.96 % (598902)Success in time 1.538 s
% 8.24/1.96 % Vampire exiting
%------------------------------------------------------------------------------