%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 3.26s 0.93s
% Output : Refutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 41 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
fof(f3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ p2(f5(X1,c10),f3(f4(c11),c12))
| ~ p7(c10,X0)
| ~ p2(f6(c9,X0),X1)
| ~ p8(X0,c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_14) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ p2(X2,f3(f4(c11),c12))
| ~ p2(f6(c9,X0),X1)
| ~ p8(X0,c9)
| ~ p2(X2,f5(X1,c10))
| ~ p7(c10,X0) ),
inference(resolution,[],[f14,f8]) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f3(f4(c11),c12))
| ~ p8(X0,c9)
| ~ p2(X2,f5(X1,c10))
| ~ p7(c10,X0)
| ~ p2(X3,X2)
| ~ p2(f6(c9,X0),X1) ),
inference(resolution,[],[f15,f8]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ p2(f3(f4(c11),c12),X1)
| ~ p2(X1,f5(X2,c10))
| ~ p7(c10,X0)
| ~ p8(X0,c9)
| ~ p2(f6(c9,X0),X2) ),
inference(resolution,[],[f17,f1]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p2(c15,f5(X0,c10))
| ~ p7(c10,X1)
| ~ p8(X1,c9)
| ~ p2(f6(c9,X1),X0) ),
inference(resolution,[],[f22,f6]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ p2(f6(c9,X0),X1)
| ~ p8(X0,c9)
| ~ p7(c10,X0)
| ~ p2(X2,c15)
| ~ p2(X2,f5(X1,c10)) ),
inference(resolution,[],[f27,f8]) ).
fof(f34,plain,
! [X0] :
( ~ p8(c13,c9)
| ~ p7(c10,c13)
| ~ p2(X0,c15)
| ~ p2(X0,f5(c14,c10)) ),
inference(resolution,[],[f32,f4]) ).
fof(f39,plain,
! [X0] :
( ~ p7(c10,c13)
| ~ p2(X0,c15)
| ~ p2(X0,f5(c14,c10)) ),
inference(forward_subsumption_resolution,[],[f34,f2]) ).
fof(f40,plain,
! [X0] :
( ~ p2(X0,f5(c14,c10))
| ~ p2(X0,c15) ),
inference(forward_subsumption_resolution,[],[f39,f3]) ).
fof(f43,plain,
~ p2(f5(c14,c10),c15),
inference(resolution,[],[f40,f1]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[],[f43,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:30:55 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.26/0.93 % (3522917)Input is clausal, will run a generic CNF schedule.
% 3.26/0.93 % (3522927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3057218857:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.26/0.93 % (3522926)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3994632497:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.26/0.93 % (3522925)lrs+10_1_sil=8000:sp=occurrence:random_seed=2784584073:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.26/0.93 % (3522923)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=421451540:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.26/0.93 % (3522924)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2515290616:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.26/0.93 % (3522928)dis-21_1_sil=8000:lcm=predicate:random_seed=3155964579:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.26/0.93 % (3522922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=889324158:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.26/0.93 % (3522926)First to succeed.
% 3.26/0.93 % (3522926)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3522917"
% 3.26/0.93 % (3522927)Also succeeded, but the first one will report.
% 3.26/0.93 % (3522928)Also succeeded, but the first one will report.
% 3.26/0.93 % (3522925)Instruction limit reached!
% 3.26/0.93 % (3522925)------------------------------
% 3.26/0.93 % (3522925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/0.93 % (3522925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.93 % (3522925)CaDiCaL version: 2.1.3
% 3.26/0.93 % (3522925)Termination reason: Instruction limit
% 3.26/0.93 % (3522925)Termination phase: Saturation
% 3.26/0.93 % (3522925)Time elapsed: 0.063 s
% 3.26/0.93 % (3522925)Peak memory usage: 89 MB
% 3.26/0.93 % (3522925)Instructions burned: 107 (million)
% 3.26/0.93 % (3522936)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2894799794:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.26/0.93 % (3522926)Refutation found. Thanks to Tanya!
% 3.26/0.93 % SZS status Unsatisfiable for theBenchmark
% 3.26/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.26/0.93 % (3522926)------------------------------
% 3.26/0.93 % (3522926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/0.93 % (3522926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.93 % (3522926)CaDiCaL version: 2.1.3
% 3.26/0.93 % (3522926)Termination reason: Refutation
% 3.26/0.93 % (3522926)Time elapsed: 0.002 s
% 3.26/0.93 % (3522926)Peak memory usage: 88 MB
% 3.26/0.93 % (3522926)Instructions burned: 2 (million)
% 3.26/0.93 % (3522926)------------------------------
% 3.26/0.93 % (3522926)------------------------------
% 3.26/0.93 % (3522917)Success in time 0.416 s
% 3.26/0.93 % Vampire exiting
%------------------------------------------------------------------------------