%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:30:29 AM UTC 2026
% Result : Unsatisfiable 0.67s 0.47s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1297,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).
fof(f1311,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1312,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1313,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2328,plain,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(consistent_polarity_flipping,[],[f1297]) ).
fof(f2338,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f1311]) ).
fof(f2339,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f1312]) ).
fof(f2340,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f1313]) ).
fof(f7569,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f2328,f2340]) ).
fof(f7596,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f7569,f2339]) ).
fof(f7599,plain,
$false,
inference(forward_subsumption_resolution,[],[f7596,f2338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:14:51 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.47 % (3963646)Will run a generic schedule for satisfiability detection.
% 0.67/0.47 % (3963657)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2238217266:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.67/0.47 % (3963652)% WARNING: option uhcvi not known.
% 0.67/0.47 % (3963651)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1700783371_2999 on theBenchmark for (2999ds/0Mi)
% 0.67/0.47 % (3963652)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1753918813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.67/0.47 % (3963653)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3443314045:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.67/0.47 % (3963654)dis+10_1_sil=32000:sp=arity:random_seed=130224440:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.67/0.47 % (3963655)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=212603441:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.67/0.47 % (3963656)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=996603193:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.67/0.47 % (3963657)Instruction limit reached!
% 0.67/0.47 % (3963657)------------------------------
% 0.67/0.47 % (3963657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963657)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963657)Termination reason: Instruction limit
% 0.67/0.47 % (3963657)Termination phase: Saturation
% 0.67/0.47 % (3963657)Time elapsed: 0.058 s
% 0.67/0.47 % (3963657)Peak memory usage: 15 MB
% 0.67/0.47 % (3963657)Instructions burned: 160 (million)
% 0.67/0.47 % (3963665)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3742296191:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.67/0.47 % (3963654)Instruction limit reached!
% 0.67/0.47 % (3963654)------------------------------
% 0.67/0.47 % (3963654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963654)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963654)Termination reason: Instruction limit
% 0.67/0.47 % (3963654)Termination phase: Saturation
% 0.67/0.47 % (3963654)Time elapsed: 0.065 s
% 0.67/0.47 % (3963654)Peak memory usage: 13 MB
% 0.67/0.47 % (3963654)Instructions burned: 104 (million)
% 0.67/0.47 % (3963655)Instruction limit reached!
% 0.67/0.47 % (3963655)------------------------------
% 0.67/0.47 % (3963655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963655)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963655)Termination reason: Instruction limit
% 0.67/0.47 % (3963655)Termination phase: Saturation
% 0.67/0.47 % (3963655)Time elapsed: 0.066 s
% 0.67/0.47 % (3963655)Peak memory usage: 14 MB
% 0.67/0.47 % (3963655)Instructions burned: 116 (million)
% 0.67/0.47 % (3963667)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1692639088:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.67/0.47 % (3963668)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=2615247383:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.67/0.47 % (3963656)Instruction limit reached!
% 0.67/0.47 % (3963656)------------------------------
% 0.67/0.47 % (3963656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963656)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963656)Termination reason: Instruction limit
% 0.67/0.47 % (3963656)Termination phase: Saturation
% 0.67/0.47 % (3963656)Time elapsed: 0.088 s
% 0.67/0.47 % (3963656)Peak memory usage: 14 MB
% 0.67/0.47 % (3963656)Instructions burned: 131 (million)
% 0.67/0.47 % (3963671)ott-21_1_sil=16000:fs=off:random_seed=3966884789:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.67/0.47 % TRYING [1]
% 0.67/0.47 % TRYING [2]
% 0.67/0.47 % TRYING [1]
% 0.67/0.47 % (3963667)Instruction limit reached!
% 0.67/0.47 % (3963667)------------------------------
% 0.67/0.47 % (3963667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963667)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963667)Termination reason: Instruction limit
% 0.67/0.47 % (3963667)Termination phase: Saturation
% 0.67/0.47 % (3963667)Time elapsed: 0.078 s
% 0.67/0.47 % (3963667)Peak memory usage: 14 MB
% 0.67/0.47 % (3963667)Instructions burned: 131 (million)
% 0.67/0.47 % TRYING [2]
% 0.67/0.47 % (3963652) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3963646-3963652"...
% 0.67/0.47 % (3963652)...printing done.
% 0.67/0.47 % (3963652)Refutation found. Thanks to Tanya!
% 0.67/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.47 % (3963652)------------------------------
% 0.67/0.47 % (3963652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (3963652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (3963652)CaDiCaL version: 2.1.3
% 0.67/0.47 % (3963652)Termination reason: Refutation
% 0.67/0.47 % (3963652)Time elapsed: 0.176 s
% 0.67/0.47 % (3963652)Peak memory usage: 15 MB
% 0.67/0.47 % (3963652)Instructions burned: 266 (million)
% 0.67/0.47 % (3963646)Success in time 0.255 s
% 0.67/0.47 % Vampire exiting
%------------------------------------------------------------------------------