%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW205+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:29:50 PM UTC 2026
% Result : Theorem 6.69s 1.76s
% Output : Refutation 6.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 40 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 12 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-5 aty)
% Number of variables : 63 ( 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X0))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).
fof(f46,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f210,axiom,
! [X0,X1,X2,X3] :
( class_RealVector_Oreal__normed__vector(X3)
=> ( ! [X4] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4)),X0) )
=> c_SEQ_OBseq(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_BseqI2_H) ).
fof(f1131,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1271,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(c_COMBB(X5,X4,X3,X2,X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f1274,conjecture,
c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1275,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(negated_conjecture,[status(cth)],[f1274]) ).
fof(f1283,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(flattening,[],[f1275]) ).
fof(f1486,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4)),X0)
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(ennf_transformation,[],[f210]) ).
fof(f1487,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ? [X4] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,X4)),X0)
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X4) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(flattening,[],[f1486]) ).
fof(f2419,plain,
! [X0,X1,X2,X3] :
( c_SEQ_OBseq(X3,X1)
| ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK15(X0,X1,X2,X3))),X0)
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK15(X0,X1,X2,X3)) )
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2,X3))],[f1487]) ).
fof(f2729,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X0))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(cnf_transformation,[],[f15]) ).
fof(f2769,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f2992,plain,
! [X2,X3,X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X3)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3,hAPP(X1,sK15(X0,X1,X2,X3))),X0)
| c_SEQ_OBseq(X3,X1) ),
inference(cnf_transformation,[],[f2419]) ).
fof(f4243,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1131]) ).
fof(f4383,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(c_COMBB(X5,X4,X3,X2,X1),X0),
inference(cnf_transformation,[],[f1271]) ).
fof(f4386,plain,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(cnf_transformation,[],[f1283]) ).
fof(f4619,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(X0,sK15(X1,X0,X2,tc_RealDef_Oreal))),X1)
| c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
inference(resolution,[],[f4243,f2992]) ).
fof(f4620,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(X0,sK15(X1,X0,X2,tc_RealDef_Oreal))),X1)
| c_SEQ_OBseq(tc_RealDef_Oreal,X0) ),
inference(forward_demodulation,[],[f4619,f2769]) ).
fof(f4624,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(X0,hAPP(X1,sK15(X2,c_COMBB(X3,X4,X5,X0,X1),X6,tc_RealDef_Oreal)))),X2)
| c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(X3,X4,X5,X0,X1)) ),
inference(superposition,[],[f4620,f4383]) ).
fof(f4626,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(X6,hAPP(X0,hAPP(X1,sK15(X2,c_COMBB(X3,X4,X5,X6,c_COMBB(X7,X8,X9,X0,X1)),X10,tc_RealDef_Oreal))))),X2)
| c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(X3,X4,X5,X6,c_COMBB(X7,X8,X9,X0,X1))) ),
inference(superposition,[],[f4624,f4383]) ).
fof(f4633,plain,
$false,
inference(unit_resulting_resolution,[],[f4626,f4386,f2729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW205+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n003.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 13:20:03 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 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
% 5.35/1.56 % (1577452)Detected formulas, will run a generic FOF schedule.
% 5.35/1.56 % (1577458)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2493119551:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.35/1.56 % (1577460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1566049893:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.35/1.56 % (1577459)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3624763583:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.35/1.56 % (1577461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=518090274:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.35/1.56 % (1577457)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=3631921852:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.35/1.56 % (1577463)dis-21_1_sil=8000:lcm=predicate:random_seed=2604469297:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.35/1.56 % (1577462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=937493723:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.35/1.56 % (1577460)Refutation not found, incomplete strategy
% 5.35/1.56 % (1577460)------------------------------
% 5.35/1.56 % (1577460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.56 % (1577460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.56 % (1577460)CaDiCaL version: 2.1.3
% 5.35/1.56 % (1577460)Termination reason: Refutation not found, incomplete strategy
% 5.35/1.56 % (1577460)Time elapsed: 0.006 s
% 5.35/1.56 % (1577460)Peak memory usage: 89 MB
% 5.35/1.56 % (1577460)Instructions burned: 7 (million)
% 5.35/1.56 % (1577463)Instruction limit reached!
% 5.35/1.56 % (1577463)------------------------------
% 5.35/1.56 % (1577463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.56 % (1577463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.56 % (1577463)CaDiCaL version: 2.1.3
% 5.35/1.56 % (1577463)Termination reason: Instruction limit
% 5.35/1.56 % (1577463)Termination phase: Saturation
% 5.35/1.56 % (1577463)Time elapsed: 0.066 s
% 5.35/1.56 % (1577463)Peak memory usage: 90 MB
% 5.35/1.56 % (1577463)Instructions burned: 129 (million)
% 5.35/1.56 % (1577461)Instruction limit reached!
% 5.35/1.56 % (1577461)------------------------------
% 5.35/1.56 % (1577461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.56 % (1577461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.56 % (1577461)CaDiCaL version: 2.1.3
% 5.35/1.56 % (1577461)Termination reason: Instruction limit
% 5.35/1.56 % (1577461)Termination phase: Saturation
% 5.35/1.56 % (1577461)Time elapsed: 0.069 s
% 5.35/1.56 % (1577461)Peak memory usage: 89 MB
% 5.35/1.56 % (1577461)Instructions burned: 119 (million)
% 5.35/1.56 % (1577462)Instruction limit reached!
% 5.35/1.56 % (1577462)------------------------------
% 5.35/1.56 % (1577462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.35/1.56 % (1577462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.35/1.56 % (1577462)CaDiCaL version: 2.1.3
% 5.35/1.56 % (1577462)Termination reason: Instruction limit
% 5.35/1.56 % (1577462)Termination phase: Saturation
% 5.35/1.56 % (1577462)Time elapsed: 0.075 s
% 5.35/1.56 % (1577462)Peak memory usage: 90 MB
% 5.35/1.56 % (1577462)Instructions burned: 140 (million)
% 5.35/1.56 % (1577471)lrs+10_1_sil=8000:sp=occurrence:random_seed=4205857065:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.35/1.56 % (1577472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2336460149:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.35/1.56 % (1577473)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3628004439:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.35/1.56 % (1577460)------------------------------
% 5.35/1.56 % (1577460)------------------------------
% 5.35/1.56 % (1577472)Instruction limit reached!
% 5.35/1.56 % (1577472)------------------------------
% 5.35/1.56 % (1577472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577472)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577472)Termination reason: Instruction limit
% 6.69/1.76 % (1577472)Termination phase: Saturation
% 6.69/1.76 % (1577472)Time elapsed: 0.086 s
% 6.69/1.76 % (1577472)Peak memory usage: 90 MB
% 6.69/1.76 % (1577472)Instructions burned: 157 (million)
% 6.69/1.76 % (1577471)Instruction limit reached!
% 6.69/1.76 % (1577471)------------------------------
% 6.69/1.76 % (1577471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577471)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577471)Termination reason: Instruction limit
% 6.69/1.76 % (1577471)Termination phase: Saturation
% 6.69/1.76 % (1577471)Time elapsed: 0.181 s
% 6.69/1.76 % (1577471)Peak memory usage: 92 MB
% 6.69/1.76 % (1577471)Instructions burned: 285 (million)
% 6.69/1.76 % (1577477)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=23794783:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.69/1.76 % (1577473)Instruction limit reached!
% 6.69/1.76 % (1577473)------------------------------
% 6.69/1.76 % (1577473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577473)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577473)Termination reason: Instruction limit
% 6.69/1.76 % (1577473)Termination phase: Saturation
% 6.69/1.76 % (1577473)Time elapsed: 0.194 s
% 6.69/1.76 % (1577473)Peak memory usage: 94 MB
% 6.69/1.76 % (1577473)Instructions burned: 325 (million)
% 6.69/1.76 % (1577478)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3300996881:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.69/1.76 % (1577478)Refutation not found, incomplete strategy
% 6.69/1.76 % (1577478)------------------------------
% 6.69/1.76 % (1577478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577478)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577478)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.76 % (1577478)Time elapsed: 0.038 s
% 6.69/1.76 % (1577478)Peak memory usage: 90 MB
% 6.69/1.76 % (1577478)Instructions burned: 67 (million)
% 6.69/1.76 % (1577458)First to succeed.
% 6.69/1.76 % (1577458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1577452"
% 6.69/1.76 % (1577479)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=418069420:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.69/1.76 % (1577477)Instruction limit reached!
% 6.69/1.76 % (1577477)------------------------------
% 6.69/1.76 % (1577477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577477)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577477)Termination reason: Instruction limit
% 6.69/1.76 % (1577477)Termination phase: Saturation
% 6.69/1.76 % (1577477)Time elapsed: 0.146 s
% 6.69/1.76 % (1577477)Peak memory usage: 92 MB
% 6.69/1.76 % (1577477)Instructions burned: 248 (million)
% 6.69/1.76 % (1577481)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3963890340:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.69/1.76 % (1577481)Instruction limit reached!
% 6.69/1.76 % (1577481)------------------------------
% 6.69/1.76 % (1577481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577481)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577481)Termination reason: Instruction limit
% 6.69/1.76 % (1577481)Termination phase: Saturation
% 6.69/1.76 % (1577481)Time elapsed: 0.063 s
% 6.69/1.76 % (1577481)Peak memory usage: 91 MB
% 6.69/1.76 % (1577481)Instructions burned: 113 (million)
% 6.69/1.76 % (1577458)Refutation found. Thanks to Tanya!
% 6.69/1.76 % SZS status Theorem for theBenchmark
% 6.69/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 6.69/1.76 % (1577458)------------------------------
% 6.69/1.76 % (1577458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.76 % (1577458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.76 % (1577458)CaDiCaL version: 2.1.3
% 6.69/1.76 % (1577458)Termination reason: Refutation
% 6.69/1.76 % (1577458)Time elapsed: 0.546 s
% 6.69/1.76 % (1577458)Peak memory usage: 149 MB
% 6.69/1.76 % (1577458)Instructions burned: 1573 (million)
% 6.69/1.76 % (1577458)------------------------------
% 6.69/1.76 % (1577458)------------------------------
% 6.69/1.76 % (1577452)Success in time 0.906 s
% 6.69/1.76 % Vampire exiting
%------------------------------------------------------------------------------