%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:39:38 PM UTC 2026
% Result : Theorem 4.13s 0.92s
% Output : Refutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 13 |; 0 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(f3,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_H_I3_J) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_pos__less__divide__eq) ).
fof(f1134,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1250,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1251,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(negated_conjecture,[status(cth)],[f1250]) ).
fof(f1253,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(flattening,[],[f1251]) ).
fof(f1293,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f47]) ).
fof(f1294,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1293]) ).
fof(f2332,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f2333,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(cnf_transformation,[],[f3]) ).
fof(f2385,plain,
! [X2,X3,X0,X1] :
( ~ class_Fields_Olinordered__field(X3)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2)) ),
inference(cnf_transformation,[],[f1294]) ).
fof(f3976,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1134]) ).
fof(f4092,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f1253]) ).
fof(f4520,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| c_Orderings_Oord__class_Oless(X3,hAPP(c_Groups_Otimes__class_Otimes(X3,X1),X2),X0)
| class_Fields_Olinordered__field(X3) ),
inference(consistent_polarity_flipping,[],[f2385]) ).
fof(f5423,plain,
~ class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f3976]) ).
fof(f27075,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e)
| class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(resolution,[],[f4520,f2333]) ).
fof(f27120,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e)
| class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f27075,f2332]) ).
fof(f27133,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f27120,f4092]) ).
fof(f27139,plain,
$false,
inference(forward_subsumption_resolution,[],[f27133,f5423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:19:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 4.13/0.91 % (155032)Will run a generic schedule for satisfiability detection.
% 4.13/0.91 % (155039)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3794686365:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.13/0.91 % (155038)% WARNING: option uhcvi not known.
% 4.13/0.91 % (155037)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=216786077_2999 on theBenchmark for (2999ds/0Mi)
% 4.13/0.91 % (155038)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2610231371:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.13/0.91 % (155040)dis+10_1_sil=32000:sp=arity:random_seed=1856061192:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.13/0.91 % (155041)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3982485329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.13/0.91 % (155042)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=846275800:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.13/0.91 % (155043)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4256427869:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.13/0.91 % (155040)Instruction limit reached!
% 4.13/0.91 % (155040)------------------------------
% 4.13/0.91 % (155040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.91 % (155040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.91 % (155040)CaDiCaL version: 2.1.3
% 4.13/0.91 % (155040)Termination reason: Instruction limit
% 4.13/0.91 % (155040)Termination phase: Saturation
% 4.13/0.91 % (155040)Time elapsed: 0.050 s
% 4.13/0.91 % (155040)Peak memory usage: 14 MB
% 4.13/0.91 % (155040)Instructions burned: 104 (million)
% 4.13/0.91 % (155041)Instruction limit reached!
% 4.13/0.91 % (155041)------------------------------
% 4.13/0.91 % (155041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.91 % (155041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.91 % (155041)CaDiCaL version: 2.1.3
% 4.13/0.91 % (155041)Termination reason: Instruction limit
% 4.13/0.91 % (155041)Termination phase: Property scanning
% 4.13/0.91 % (155041)Time elapsed: 0.055 s
% 4.13/0.91 % (155041)Peak memory usage: 14 MB
% 4.13/0.91 % (155041)Instructions burned: 118 (million)
% 4.13/0.91 % (155042)Instruction limit reached!
% 4.13/0.91 % (155042)------------------------------
% 4.13/0.91 % (155042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.91 % (155042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.91 % (155042)CaDiCaL version: 2.1.3
% 4.13/0.91 % (155042)Termination reason: Instruction limit
% 4.13/0.91 % (155042)Termination phase: Saturation
% 4.13/0.91 % (155042)Time elapsed: 0.065 s
% 4.13/0.91 % (155042)Peak memory usage: 14 MB
% 4.13/0.91 % (155042)Instructions burned: 132 (million)
% 4.13/0.91 % (155051)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=722914481:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.13/0.91 % (155052)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=142574378:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.13/0.91 % (155053)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=4181717351:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.13/0.91 % (155043)Instruction limit reached!
% 4.13/0.91 % (155043)------------------------------
% 4.13/0.91 % (155043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.91 % (155043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.91 % (155043)CaDiCaL version: 2.1.3
% 4.13/0.91 % (155043)Termination reason: Instruction limit
% 4.13/0.91 % (155043)Termination phase: Saturation
% 4.13/0.91 % (155043)Time elapsed: 0.086 s
% 4.13/0.91 % (155043)Peak memory usage: 16 MB
% 4.13/0.91 % (155043)Instructions burned: 160 (million)
% 4.13/0.91 % (155057)ott-21_1_sil=16000:fs=off:random_seed=2917100848:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.13/0.91 % (155052)Instruction limit reached!
% 4.13/0.91 % (155052)------------------------------
% 4.13/0.91 % (155052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.91 % (155052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.91 % (155052)CaDiCaL version: 2.1.3
% 4.13/0.91 % (155052)Termination reason: Instruction limit
% 4.13/0.92 % (155052)Termination phase: Property scanning
% 4.13/0.92 % (155052)Time elapsed: 0.061 s
% 4.13/0.92 % (155052)Peak memory usage: 14 MB
% 4.13/0.92 % (155052)Instructions burned: 133 (million)
% 4.13/0.92 % (155059)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2899550589:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.13/0.92 % (155057)Instruction limit reached!
% 4.13/0.92 % (155057)------------------------------
% 4.13/0.92 % (155057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.92 % (155057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.92 % (155057)CaDiCaL version: 2.1.3
% 4.13/0.92 % (155057)Termination reason: Instruction limit
% 4.13/0.92 % (155057)Termination phase: Saturation
% 4.13/0.92 % (155057)Time elapsed: 0.082 s
% 4.13/0.92 % (155057)Peak memory usage: 14 MB
% 4.13/0.92 % (155057)Instructions burned: 182 (million)
% 4.13/0.92 % (155061)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2843072256:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.13/0.92 % (155051)Instruction limit reached!
% 4.13/0.92 % (155051)------------------------------
% 4.13/0.92 % (155051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.92 % (155051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.92 % (155051)CaDiCaL version: 2.1.3
% 4.13/0.92 % (155051)Termination reason: Instruction limit
% 4.13/0.92 % (155051)Termination phase: Finite model building preprocessing
% 4.13/0.92 % (155051)Time elapsed: 0.352 s
% 4.13/0.92 % (155051)Peak memory usage: 18 MB
% 4.13/0.92 % (155051)Instructions burned: 716 (million)
% 4.13/0.92 % (155063)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2172472179:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.13/0.92 % (155059)Instruction limit reached!
% 4.13/0.92 % (155059)------------------------------
% 4.13/0.92 % (155059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.92 % (155059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.92 % (155059)CaDiCaL version: 2.1.3
% 4.13/0.92 % (155059)Termination reason: Instruction limit
% 4.13/0.92 % (155059)Termination phase: Saturation
% 4.13/0.92 % (155059)Time elapsed: 0.290 s
% 4.13/0.92 % (155059)Peak memory usage: 17 MB
% 4.13/0.92 % (155059)Instructions burned: 477 (million)
% 4.13/0.92 % (155065)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=755324279:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.13/0.92 % (155053)Instruction limit reached!
% 4.13/0.92 % (155053)------------------------------
% 4.13/0.92 % (155053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.92 % (155053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.92 % (155053)CaDiCaL version: 2.1.3
% 4.13/0.92 % (155053)Termination reason: Instruction limit
% 4.13/0.92 % (155053)Termination phase: Saturation
% 4.13/0.92 % (155053)Time elapsed: 0.382 s
% 4.13/0.92 % (155053)Peak memory usage: 19 MB
% 4.13/0.92 % (155053)Instructions burned: 684 (million)
% 4.13/0.92 % (155067)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=860898527: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)
% 4.13/0.92 % (155038) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-155032-155038"...
% 4.13/0.92 % (155038)...printing done.
% 4.13/0.92 % (155038)Refutation found. Thanks to Tanya!
% 4.13/0.92 % SZS status Theorem for theBenchmark
% 4.13/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 4.13/0.92 % (155038)------------------------------
% 4.13/0.92 % (155038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.13/0.92 % (155038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.13/0.92 % (155038)CaDiCaL version: 2.1.3
% 4.13/0.92 % (155038)Termination reason: Refutation
% 4.13/0.92 % (155038)Time elapsed: 0.609 s
% 4.13/0.92 % (155038)Peak memory usage: 21 MB
% 4.13/0.92 % (155038)Instructions burned: 984 (million)
% 4.13/0.92 % (155032)Success in time 0.692 s
% 4.13/0.92 % Vampire exiting
%------------------------------------------------------------------------------