%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 01:20:43 PM UTC 2026
% Result : Unsatisfiable 0.67s 0.46s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 34 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [X0] : c_less(X0,c_Suc(X0),tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).
fof(f2371,axiom,
! [X0,X1] : c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__le__self_0) ).
fof(f2432,axiom,
! [X0,X1] : ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less2_0) ).
fof(f2451,axiom,
! [X0] : c_minus(X0,c_0,tc_nat) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_N_Odiff__0_0) ).
fof(f3054,axiom,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_Suc(X0),
file('/export/starexec/sandbox/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(f3558,axiom,
! [X0,X1] : c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f3562,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f3563,negated_conjecture,
! [X0,X1] :
( X0 = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3568,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(f4703,plain,
! [X0,X1] : ~ c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat),
inference(consistent_polarity_flipping,[],[f2371]) ).
fof(f5044,plain,
! [X0,X1] : ~ c_lessequals(X0,c_plus(X0,X1,tc_nat),tc_nat),
inference(consistent_polarity_flipping,[],[f3558]) ).
fof(f5048,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X1),tc_Message_Omsg)
| c_lessequals(v_sko__urX(X1),X0,tc_nat) ),
inference(consistent_polarity_flipping,[],[f3562]) ).
fof(f5049,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X1
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f3563]) ).
fof(f5902,plain,
! [X0] : ~ c_lessequals(X0,X0,tc_nat),
inference(superposition,[],[f4703,f2451]) ).
fof(f7250,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = X1
| c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[],[f5048,f5049]) ).
fof(f7253,plain,
! [X0,X1] :
( c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| X0 = X1 ),
inference(resolution,[],[f7250,f5048]) ).
fof(f7263,plain,
! [X0] :
( c_lessequals(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H) = X0 ),
inference(resolution,[],[f7253,f5902]) ).
fof(f7275,plain,
v_sko__urX(v_evs_H) = v_sko__urX(v_evs),
inference(resolution,[],[f7263,f5902]) ).
fof(f7278,plain,
! [X0] : v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs),X0,tc_nat),
inference(resolution,[],[f7263,f5044]) ).
fof(f7350,plain,
! [X0] : v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs_H),X0,tc_nat),
inference(forward_demodulation,[],[f7278,f7275]) ).
fof(f7356,plain,
! [X0] : ~ c_less(v_sko__urX(v_evs_H),X0,tc_nat),
inference(superposition,[],[f2432,f7350]) ).
fof(f7394,plain,
$false,
inference(resolution,[],[f7356,f3568]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 10:27:07 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
% 0.67/0.46 % (259022)Will run a generic schedule for satisfiability detection.
% 0.67/0.46 % (259030)dis+10_1_sil=32000:sp=arity:random_seed=1721801657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.67/0.46 % (259028)% WARNING: option uhcvi not known.
% 0.67/0.46 % (259027)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3374692174_2999 on theBenchmark for (2999ds/0Mi)
% 0.67/0.46 % (259028)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1230089319:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.67/0.46 % (259029)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3693762138:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.67/0.46 % (259031)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1301288234:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.67/0.46 % (259032)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3125032062:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.67/0.46 % (259033)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3849109220:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.67/0.46 % (259030)Instruction limit reached!
% 0.67/0.46 % (259030)------------------------------
% 0.67/0.46 % (259030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.46 % (259030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.46 % (259030)CaDiCaL version: 2.1.3
% 0.67/0.46 % (259030)Termination reason: Instruction limit
% 0.67/0.46 % (259030)Termination phase: Saturation
% 0.67/0.46 % (259030)Time elapsed: 0.036 s
% 0.67/0.46 % (259030)Peak memory usage: 15 MB
% 0.67/0.46 % (259030)Instructions burned: 105 (million)
% 0.67/0.46 % (259041)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=221166506:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.67/0.46 % (259031)Instruction limit reached!
% 0.67/0.46 % (259031)------------------------------
% 0.67/0.46 % (259031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.46 % (259031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.46 % (259031)CaDiCaL version: 2.1.3
% 0.67/0.46 % (259031)Termination reason: Instruction limit
% 0.67/0.46 % (259031)Termination phase: Saturation
% 0.67/0.46 % (259031)Time elapsed: 0.065 s
% 0.67/0.46 % (259031)Peak memory usage: 16 MB
% 0.67/0.46 % (259031)Instructions burned: 117 (million)
% 0.67/0.46 % (259032)Instruction limit reached!
% 0.67/0.46 % (259032)------------------------------
% 0.67/0.46 % (259032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.46 % (259032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.46 % (259032)CaDiCaL version: 2.1.3
% 0.67/0.46 % (259032)Termination reason: Instruction limit
% 0.67/0.46 % (259032)Termination phase: Saturation
% 0.67/0.46 % (259032)Time elapsed: 0.076 s
% 0.67/0.46 % (259032)Peak memory usage: 16 MB
% 0.67/0.46 % (259032)Instructions burned: 131 (million)
% 0.67/0.46 % (259043)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2258612686:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.67/0.46 % (259044)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=1093578946:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.67/0.46 % (259033)Instruction limit reached!
% 0.67/0.46 % (259033)------------------------------
% 0.67/0.46 % (259033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.46 % (259033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.46 % (259033)CaDiCaL version: 2.1.3
% 0.67/0.46 % (259033)Termination reason: Instruction limit
% 0.67/0.46 % (259033)Termination phase: Saturation
% 0.67/0.46 % (259033)Time elapsed: 0.104 s
% 0.67/0.46 % (259033)Peak memory usage: 17 MB
% 0.67/0.46 % (259033)Instructions burned: 159 (million)
% 0.67/0.46 % (259028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-259022-259028"...
% 0.67/0.46 % (259028)...printing done.
% 0.67/0.46 % (259028)Refutation found. Thanks to Tanya!
% 0.67/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.67/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.46 % (259028)------------------------------
% 1.29/0.46 % (259028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.46 % (259028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.46 % (259028)CaDiCaL version: 2.1.3
% 1.29/0.46 % (259028)Termination reason: Refutation
% 1.29/0.46 % (259028)Time elapsed: 0.116 s
% 1.29/0.46 % (259028)Peak memory usage: 17 MB
% 1.29/0.46 % (259028)Instructions burned: 177 (million)
% 1.29/0.46 % (259022)Success in time 0.241 s
% 1.29/0.46 % Vampire exiting
%------------------------------------------------------------------------------