%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:20:36 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.39s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 12 unt; 0 def)
% Number of atoms : 16 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).
fof(f2377,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_nat)
| c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ole__add__diff__inverse2_0) ).
fof(f2432,axiom,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less2_0) ).
fof(f3054,axiom,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_Suc(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).
fof(f3055,plain,
! [X0] : c_Suc(X0) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),
inference(reorient_equations,[],[f3054]) ).
fof(f3391,negated_conjecture,
! [X0] : c_lessequals(X0,v_x(X0),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3392,negated_conjecture,
! [X0] : v_x(X0) = v_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3397,plain,
! [X0] : c_less(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f79,f3055]) ).
fof(f3616,plain,
! [X0] : c_lessequals(X0,v_nat,tc_nat),
inference(definition_unfolding,[],[f3391,f3392]) ).
fof(f4411,plain,
! [X0,X1] :
( c_lessequals(X0,X1,tc_nat)
| c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
inference(consistent_polarity_flipping,[],[f2377]) ).
fof(f4637,plain,
! [X0] : ~ c_lessequals(X0,v_nat,tc_nat),
inference(consistent_polarity_flipping,[],[f3616]) ).
fof(f8646,plain,
! [X0] : v_nat = c_plus(c_minus(v_nat,X0,tc_nat),X0,tc_nat),
inference(resolution,[],[f4411,f4637]) ).
fof(f8720,plain,
! [X0] : ~ c_less(v_nat,X0,tc_nat),
inference(superposition,[],[f2432,f8646]) ).
fof(f8818,plain,
$false,
inference(resolution,[],[f8720,f3397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV254-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.16 % Computer : n003.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 10:20:42 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 Running first-order model finding
% 0.07/0.19 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
% 0.64/0.39 % (1492260)Will run a generic schedule for satisfiability detection.
% 0.64/0.39 % (1492266)% WARNING: option uhcvi not known.
% 0.64/0.39 % (1492266)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=967114794:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.64/0.39 % (1492265)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=543751979_2999 on theBenchmark for (2999ds/0Mi)
% 0.64/0.39 % (1492267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=55021854:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.64/0.39 % (1492268)dis+10_1_sil=32000:sp=arity:random_seed=1072477282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.64/0.39 % (1492269)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2341026135:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.64/0.39 % (1492270)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2517027246:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.64/0.39 % (1492271)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1577949281:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.64/0.39 % (1492268)Instruction limit reached!
% 0.64/0.39 % (1492268)------------------------------
% 0.64/0.39 % (1492268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.39 % (1492268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.39 % (1492268)CaDiCaL version: 2.1.3
% 0.64/0.39 % (1492268)Termination reason: Instruction limit
% 0.64/0.39 % (1492268)Termination phase: Saturation
% 0.64/0.39 % (1492268)Time elapsed: 0.061 s
% 0.64/0.39 % (1492268)Peak memory usage: 15 MB
% 0.64/0.39 % (1492268)Instructions burned: 103 (million)
% 0.64/0.39 % (1492269)Instruction limit reached!
% 0.64/0.39 % (1492269)------------------------------
% 0.64/0.39 % (1492269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.39 % (1492269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.39 % (1492269)CaDiCaL version: 2.1.3
% 0.64/0.39 % (1492269)Termination reason: Instruction limit
% 0.64/0.39 % (1492269)Termination phase: Saturation
% 0.64/0.39 % (1492269)Time elapsed: 0.063 s
% 0.64/0.39 % (1492269)Peak memory usage: 16 MB
% 0.64/0.39 % (1492269)Instructions burned: 116 (million)
% 0.64/0.39 % (1492270)Instruction limit reached!
% 0.64/0.39 % (1492270)------------------------------
% 0.64/0.39 % (1492270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.39 % (1492270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.39 % (1492270)CaDiCaL version: 2.1.3
% 0.64/0.39 % (1492270)Termination reason: Instruction limit
% 0.64/0.39 % (1492270)Termination phase: Saturation
% 0.64/0.39 % (1492270)Time elapsed: 0.075 s
% 0.64/0.39 % (1492270)Peak memory usage: 16 MB
% 0.64/0.39 % (1492270)Instructions burned: 132 (million)
% 0.64/0.39 % (1492266) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1492260-1492266"...
% 0.64/0.39 % (1492266)...printing done.
% 0.64/0.39 % (1492279)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4245653825:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.64/0.39 % (1492266)Refutation found. Thanks to Tanya!
% 0.64/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.39 % (1492266)------------------------------
% 0.64/0.39 % (1492266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.39 % (1492266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.39 % (1492266)CaDiCaL version: 2.1.3
% 0.64/0.39 % (1492266)Termination reason: Refutation
% 0.64/0.39 % (1492266)Time elapsed: 0.088 s
% 0.64/0.39 % (1492266)Peak memory usage: 17 MB
% 0.64/0.39 % (1492266)Instructions burned: 241 (million)
% 0.64/0.39 % (1492260)Success in time 0.185 s
% 0.64/0.39 % Vampire exiting
%------------------------------------------------------------------------------