%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV578-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:26:03 PM UTC 2026
% Result : Unsatisfiable 1.97s 0.59s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1277,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X2),X3,tc_nat),tc_nat,X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__head__upt__Suc_0) ).
fof(f1281,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less_0) ).
fof(f1282,axiom,
! [X0,X1] : c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_atLeastSucLessThan__greaterThanLessThan_0) ).
fof(f1283,plain,
! [X0,X1] : c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat),
inference(reorient_equations,[],[f1282]) ).
fof(f1307,negated_conjecture,
class_OrderedGroup_Ocomm__monoid__add(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1308,negated_conjecture,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(v_f,v_m)),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3412,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(X2,X3,tc_nat),tc_nat,X0))
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3)) ),
inference(forward_demodulation,[],[f1277,f1283]) ).
fof(f3485,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X1,tc_nat),X2))
| c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,t_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(X0,X1)),c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(X1,X2,tc_nat),tc_nat,t_a)) ),
inference(resolution,[],[f3412,f1307]) ).
fof(f5773,plain,
! [X0] : c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(X0,v_m)),c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)),
inference(resolution,[],[f3485,f1281]) ).
fof(f5821,plain,
c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference(superposition,[],[f1308,f5773]) ).
fof(f5838,plain,
$false,
inference(trivial_inequality_removal,[],[f5821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV578-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 11:55:34 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 1.97/0.59 % (3954331)Will run a generic schedule for satisfiability detection.
% 1.97/0.59 % (3954336)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3245412854_2999 on theBenchmark for (2999ds/0Mi)
% 1.97/0.59 % (3954337)% WARNING: option uhcvi not known.
% 1.97/0.59 % (3954338)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4166584629:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.97/0.59 % (3954339)dis+10_1_sil=32000:sp=arity:random_seed=3766139237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.97/0.59 % (3954342)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2929424707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.97/0.59 % (3954340)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3307042363:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.97/0.59 % (3954337)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1340680756:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.97/0.59 % (3954341)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=712954418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.97/0.59 % (3954339)Instruction limit reached!
% 1.97/0.59 % (3954339)------------------------------
% 1.97/0.59 % (3954339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954339)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954339)Termination reason: Instruction limit
% 1.97/0.59 % (3954339)Termination phase: Saturation
% 1.97/0.59 % (3954339)Time elapsed: 0.067 s
% 1.97/0.59 % (3954339)Peak memory usage: 14 MB
% 1.97/0.59 % (3954339)Instructions burned: 103 (million)
% 1.97/0.59 % (3954340)Instruction limit reached!
% 1.97/0.59 % (3954340)------------------------------
% 1.97/0.59 % (3954340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954340)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954340)Termination reason: Instruction limit
% 1.97/0.59 % (3954340)Termination phase: Saturation
% 1.97/0.59 % (3954340)Time elapsed: 0.070 s
% 1.97/0.59 % (3954340)Peak memory usage: 14 MB
% 1.97/0.59 % (3954340)Instructions burned: 117 (million)
% 1.97/0.59 % (3954341)Instruction limit reached!
% 1.97/0.59 % (3954341)------------------------------
% 1.97/0.59 % (3954341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954341)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954341)Termination reason: Instruction limit
% 1.97/0.59 % (3954341)Termination phase: Saturation
% 1.97/0.59 % (3954341)Time elapsed: 0.072 s
% 1.97/0.59 % (3954341)Peak memory usage: 14 MB
% 1.97/0.59 % (3954341)Instructions burned: 133 (million)
% 1.97/0.59 % (3954350)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2068876843:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.97/0.59 % (3954351)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4252276908:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.97/0.59 % (3954352)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=4144223826:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.97/0.59 % (3954342)Instruction limit reached!
% 1.97/0.59 % (3954342)------------------------------
% 1.97/0.59 % (3954342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954342)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954342)Termination reason: Instruction limit
% 1.97/0.59 % (3954342)Termination phase: Saturation
% 1.97/0.59 % (3954342)Time elapsed: 0.103 s
% 1.97/0.59 % (3954342)Peak memory usage: 15 MB
% 1.97/0.59 % (3954342)Instructions burned: 166 (million)
% 1.97/0.59 % (3954356)ott-21_1_sil=16000:fs=off:random_seed=496581680:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.97/0.59 % TRYING [1]
% 1.97/0.59 % TRYING [2]
% 1.97/0.59 % (3954351)Instruction limit reached!
% 1.97/0.59 % (3954351)------------------------------
% 1.97/0.59 % (3954351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954351)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954351)Termination reason: Instruction limit
% 1.97/0.59 % (3954351)Termination phase: Saturation
% 1.97/0.59 % (3954351)Time elapsed: 0.076 s
% 1.97/0.59 % (3954351)Peak memory usage: 14 MB
% 1.97/0.59 % (3954351)Instructions burned: 132 (million)
% 1.97/0.59 % (3954358)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=337108430:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.97/0.59 % (3954356)Instruction limit reached!
% 1.97/0.59 % (3954356)------------------------------
% 1.97/0.59 % (3954356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954356)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954356)Termination reason: Instruction limit
% 1.97/0.59 % (3954356)Termination phase: Saturation
% 1.97/0.59 % (3954356)Time elapsed: 0.093 s
% 1.97/0.59 % (3954356)Peak memory usage: 13 MB
% 1.97/0.59 % (3954356)Instructions burned: 180 (million)
% 1.97/0.59 % TRYING [3]
% 1.97/0.59 % (3954360)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=682774394:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 1.97/0.59 % (3954352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3954331-3954352"...
% 1.97/0.59 % (3954352)...printing done.
% 1.97/0.59 % (3954352)Refutation found. Thanks to Tanya!
% 1.97/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.97/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.59 % (3954352)------------------------------
% 1.97/0.59 % (3954352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (3954352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (3954352)CaDiCaL version: 2.1.3
% 1.97/0.59 % (3954352)Termination reason: Refutation
% 1.97/0.59 % (3954352)Time elapsed: 0.159 s
% 1.97/0.59 % (3954352)Peak memory usage: 15 MB
% 1.97/0.59 % (3954352)Instructions burned: 278 (million)
% 1.97/0.59 % (3954331)Success in time 0.347 s
% 1.97/0.59 % Vampire exiting
%------------------------------------------------------------------------------